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Finding the Third Proportional to 138,023 and 281,116

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Solution

The third proportional to 138,023 and 281,116 is: 572,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,023 : 281,116 = 281,116 : x
  2. Step 2: Convert to fraction form
    138,023/281,116 = 281,116/x
  3. Step 3: Cross multiply
    138,023x = 281,116 × 281,116
  4. Step 4: Simplify right side
    138,023x = 79,026,205,456
  5. Step 5: Solve for x
    x = 79,026,205,456/138,023
  6. Step 6: Final answer
    x = 572,558.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.